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CN106096145B - A kind of complication system mathematics library and analysis system based on state space - Google Patents

A kind of complication system mathematics library and analysis system based on state space Download PDF

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CN106096145B
CN106096145B CN201610421800.XA CN201610421800A CN106096145B CN 106096145 B CN106096145 B CN 106096145B CN 201610421800 A CN201610421800 A CN 201610421800A CN 106096145 B CN106096145 B CN 106096145B
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state space
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汤俊
朱峰
白亮
老松杨
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National University of Defense Technology
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    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
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Abstract

A kind of complication system mathematics library based on state space and analysis environment, module and state space analysis module are set up including analogue system, analogue system sets up module for supporting the mathematics library of analogue system to develop, state space analysis module, the status data for generating analogue system each stage form state space to support the behavior to complication system to analyze.Complication system mathematics library and analysis environment of the invention fundamentally changes traditional programming mode, in modeling process, with " icon " instead of " text instruction ".Support the distributed modeling to artificial physical, the frequent updating of analogue system, lasting extension can be effectively supported to integrate with efficient, analysis of complex system personnel can be made to hold Simulation Application operating status variation tendency, status data is also based on and special analysis is carried out to special parameter.

Description

A kind of complication system mathematics library and analysis system based on state space
Technical field
The present invention relates to modeling and simulation fields, and in particular to a kind of complication system mathematics library based on state space With analysis system.
Background technique
Modeling and simulation technology is a kind of for analyzing the important technical of complication system behavior.Tradition is flat based on emulation The modeling developing mode of platform manual programming needs to model personnel and studies the relevant basic theoretical knowledge of system modelling in depth, skilled to slap Corresponding emulation platform technology to be held, causes emulator system development threshold height, development cycle long, system upgrade and maintenance cost are big, It is difficult to meet analogue system frequent updating, efficiently integrated actual requirement, it has also become restrict the universal hair of complication system simulation analysis An important factor for exhibition.Mathematics library technology towards complication system is then in level more higher than universal programming language, It is completely graphical by the Integrated Development process of complication system Simulation Application, provides for Simulation Application developer intuitive efficient Integrated Development module, and realize automatic conversion of the graphical model to specific program language, so as to shield bottom software and hardware Platform technology reduces complication system Simulation Application and develops threshold, improves the development efficiency of analogue system.
The realization of complication system mathematics library technology is established on the ideas of layering assembling, it emphasizes multiple to constituting Each entity of miscellaneous system carries out independent mathematics library, and using the flexible assembling mode that links by these Solid simulation models Patterned assembly is analogue system.Therefore, complication system Simulation Application mathematics library development process can be decomposed into two bases This sub-stage, (1) supports the pattern development of Solid simulation model as shown in Figure 1:;(2) Solid simulation model is subjected to figure Shapeization link assembling.Simulation Application system is constructed based on each artificial physical, both may be implemented top-down by Complex System Models It is gradually refine to the Solid simulation model of bottom, also may be implemented bottom-up to be answered by Solid simulation model hierarchy type assembled configuration Miscellaneous Simulation Model.
On the other hand, the analysis of complication system behavior is established on the basis of analogue system operation result.In figure It can be emulated program code by automatic mapping, and can direct compilation operation after the Simulation Model building for changing description.It is imitative The execution of true system can generate the operating status of different moments, i.e. analogue system state, it refers in system operation certainly Determine the ordered set of the minimum variable of artificial physical state;So-called state space then refers to the collection of whole possible states of the system It closes.In simple terms, state space can be considered as one using state variable as the space of reference axis, therefore the state of system can be with table A vector being shown as in this space.Realization carries out record to the state space of analogue system and shows, not only can determine whether to deposit In deadlock and invalid logic procedure links, for verifying the accuracy of model, it can also be improved for subsequent analysis and basis is provided, it is special It is not that link and the influence biggish factor of system performance are taken a long time in analysis Simulation Application.
It supports the plateform system of complication system mathematics library to be among research and development at present, and achieves certain Research achievement, wherein the representative are CosMos, FLAMES, Pave, VisKit etc..CosMos is supported to atom model The pattern development of (artificial physical), and using the state transition function for writing atom model manually;FLAMES provides model base Class hand-coding realizes specific artificial physical event handling logic, causes coupling between the artificial physical of exploitation close;Pave Graphical description normal form using controlling stream graph as Discrete Event Simulation System, and using artificial physical as basic modeling member Element;VisKit introduces Object -Oriented Model thought in occurrence diagram modeling normal form, proposes and monitors occurrence diagram object for retouching State artificial physical.In short, the problem of existing complication system mathematics library system is primarily present the following aspects:
(1) it is not able to satisfy the demand that Solid simulation model distribution independently makes up;
(2) it is not able to satisfy the demand that Solid simulation model is graphically linked and is assembled into Simulation Application;
(3) it is not able to satisfy system modelling and analyzes the demand laid equal stress on.
Therefore, there is an urgent need to a kind of new complication system mathematics libraries and analysis system, to promote complication system to emulate The development of application.
Summary of the invention
The present invention provides a kind of complication system mathematics library and analysis system based on state space, it fundamentally changes Traditional programming mode is become, with " icon " instead of " text instruction ".During mathematics library, user only needs to call " icon " by wire definition and the flow direction of mark data, and can be supported to identify the data that function defines generation on line. During model running, it can stop and show current operating conditions at any time, realize the whole operational monitoring to analogue system, really The building for protecting analogue system meets practical application request;Model running terminates, and generates result and automatically records the fortune of different moments Row state forms state space and carries out graphic software platform, and analysis of complex system personnel can not only be made to hold Simulation Application operation shape State variation tendency is also based on status data and carries out special analysis to special parameter.
The present invention adopts the following technical solutions:
A kind of complication system mathematics library and analysis system based on state space, including analogue system set up module and State space analysis module, it is characterised in that: the analogue system sets up module, for supporting the mathematics library of analogue system Exploitation, including artificial physical describing layer, analogue system assembled layers and Simulation Engineering manager;The state space analysis module, For generate analogue system each stage status data formed state space to support the behavior to complication system to analyze, Including state space generation layer and state space analysis layer.
Specifically, the artificial physical describing layer, including data flow model composition pel area and data flow model figure Change editing area two parts, artificial physical is graphically described using data flow model, supports to add data flow model composition pel It carries, and the configuration to interactive relation between data flow model composition pel.
Specifically, data flow model composition pel area lists the pel that building data flow model needs to use, packet It includes and starts pel, data pel, function pel, transmission pel, end diagram element;The graphical editing area of data flow model is used for The concrete function of graphical description artificial physical, modeling personnel are dragged data flow model composition pel by way of mouse drag It is pulled to the graphical editing area of data flow model, and uses transmission figure element data storing map member and function pel to indicate data Flow direction, double-click data flow model composition pel pop-up dialog box the related data of data flow model can be configured, it is double The state transition function of data flow model can be defined by hitting function pel pop-up dialog box, the pop-up pair of double-click data pel Words frame can configure the original state of data flow model.
Specifically, the analogue system assembled layers, including artificial physical pel area, artificial physical interactive relation pel Area, artificial physical Patterned assembly area three parts, construct Simulation Application system by way of Patterned assembly Solid simulation model System.
Specifically, artificial physical pel area provides the Solid simulation model figure for Patterned assembly analogue system Member, the corresponding Solid simulation model of each Solid simulation model pel;The artificial physical interactive relation pel area is enumerated The pel that connection Solid simulation model pel needs to use, including announce and order line pel and message transmission line pel; It supports to add the physical model pel in artificial physical pel area in a manner of mouse drag in artificial physical Patterned assembly area It is downloaded to Patterned assembly area, and supports that artificial physical pel is connected composition Solid simulation model using interactive relation pel Between dynamic interaction logic, double-click artificial physical interactive relation pel pop-up dialog box can be between Solid simulation model Interaction data is configured.
Specifically, the Simulation Engineering manager, real to all kinds of emulation of building analogue system by the way of hierarchical Body Model and to building Solid simulation model all kinds of pels be managed.
Specifically, the state space generation layer, including status data display sub-module and status data save submodule Two parts, status data display sub-module realize the display to the state space data of analogue system, are the row of complication system Basis is provided with improvement to analyze;Status data saves submodule, and the state space data that analogue system generates are saved in text In this document, convenient for carrying out off-line analysis to Simulation result data.
Specifically, the state space analysis layer, provides a kind of method for analyzing analogue system state change, to system State space is patterned analysis, and provides model interface output state data and called by other application program.
Specifically, it is described analysis analogue system state change method include the following steps: to calculate first it is all reachable State and the state of limited system conversion, then further according to systems analyst's demand analysis status data overall variation trend with And the change procedure of the busy and idle probability of the utilization rate of function pel, data pel, the utilization rate of function pel for point Longer link of taking time in Solid simulation model is analysed, the busy and idle probability of data pel is for analyzing Solid simulation model The middle principal element for influencing system performance.
Complication system mathematics library based on state space of the invention has the advantage that with analysis system
1) it supports to realize the separation between Solid simulation model to the distributed Independent modeling of artificial physical;
2) mode of Patterned assembly Solid simulation model building analogue system can effectively support the frequent of analogue system Update, lasting extension are integrated with efficient;
3) data generated are more perfect, export the feelings being namely likely to occur by the complete reachable state of system Condition forms state space and is convenient for subsequent authentication and analysis decision;
4) analytic function is with strong points, the emphasis link in selective analysis analogue system and the principal element for influencing performance, And provide input of the interface output state data as other analysis softwares.
Detailed description of the invention
Fig. 1 is the complication system Simulation Application pattern development process based on state space;
Fig. 2 is complication system mathematics library and analysis system module composed structure schematic diagram based on state space;
Fig. 3 is artificial physical meta-model;
Fig. 4 is that analogue system assembling layer model generally constructs process;
Fig. 5 is hierarchical Simulation Engineering manager composed structure schematic diagram;
Fig. 6 is that system state space is generated and saved.
Specific embodiment
The realization, the function and the advantages of the object of the present invention are described further with reference to the accompanying drawing.
As shown in Fig. 2, a kind of complication system mathematics library and analysis system based on state space, including analogue system Set up module and state space analysis module.Analogue system sets up module, including artificial physical describing layer, analogue system assembled layers With Simulation Engineering manager, wherein artificial physical describing layer includes data flow model composition pel area and data flow model figure Change editing area two parts, analogue system assembled layers include artificial physical pel area, artificial physical interactive relation pel area, emulate in fact Volume graphicization assembles area's three parts.State space analysis module includes state space generation layer and state space analysis layer, wherein State space generation layer includes that status data display sub-module and status data save two parts of submodule.
The complication system mathematics library and analysis system specific implementation step based on state space are as follows:
(1) building analogue system sets up module
(1) artificial physical describing layer is constructed
Artificial physical describing layer mainly forms pel area, the graphical editing area two parts of data flow model by data flow model It constitutes, supports the load and line to emulation data flow model pel, support model, which constructs personnel, believes data flow model correlation The configuration of breath:
Data flow model composition pel area lists all pels that building Solid simulation model needs to use, including starts Pel, data pel, function pel, data pel, end diagram element etc..
The specific descriptions that the graphical editing area of data flow model is then used for Solid simulation model function realize that modeling personnel are logical Data flow model pel is dragged to graphical editing area by the mode for crossing mouse drag, and click data flow model pel can be to phase The pel answered carries out function definition and data description.
Start pel and end diagram element as auxiliary pel assists the effect of pel to be to help in data flow model User understands that the inside of artificial physical executes logic, saves the original input data and calculation result data of Solid simulation model. The corresponding data flow model of each artificial physical only one start pel and an end diagram element.
Data pel pops up corresponding the configuration dialog box to storage model status data, click data pel, and then right The attribute of status data is configured, including data name, data type, data value, data explanation.
Transmission pel shows the input of function pel/defeated linking data pel and function pel on data pel Data out, and describe the flow direction of data.
Function pel clicks function pel to indicate condition that generating state data variation to be met and calculate function It pops up corresponding the configuration dialog box, modeling personnel and then the required conditional expression of input and calculates function.If a function Each input data pel of pel is owned by status data and meets the conditional expression in function pel, the function pel table The calculating shown is to be allowed to execute.When the calculating that one function pel indicates is allowed to execute, data transition will occur, input The status data of data pel is consumed, while generating new status data for output data pel.
As shown in figure 3, the present invention indicates artificial physical meta-model with class figure, it is imitative which defines description The information that true body building data flow model must include, main includes starting pel, end diagram element, data pel (data ), transmission pel, function pel (function item), be respectively used to building data flow model beginning port, terminate port, data Storage, data transmission and function excitation.Data pel, function pel are all associated with data transmission, they are transmitted real by data Interconnection between existing different data storage/function excitation.Data pel contains corresponding data items, defines contained by data pel Data name, data type and data value;Function pel contains respective function item, defines system mode and changes Various conditions and calculating function needed for becoming.
(2) analogue system assembled layers are constructed
Analogue system assembled layers are mainly by artificial physical pel area, artificial physical interactive relation pel area, artificial physical figure Shapeization assembles area's three parts and constitutes, and supports load and line to artificial physical pel and artificial physical interactive relation pel, branch Hold configuration of the artificial physical developer to artificial physical relevant information:
Artificial physical pel distinguishes class and lists all artificial physical classes being able to use, and each artificial physical class has One corresponding icon.
Artificial physical interactive relation pel area lists all pels that link entity pel needs to use, including newly emulates Entity announces order, message transmission.
Artificial physical Patterned assembly area be then used for artificial physical and its between correlation Mapping implementation, developer Artificial physical pel is dragged to assembling area by way of mouse drag, artificial physical pel is double-clicked and enters artificial physical description Layer is so as to carrying out configuration building to corresponding artificial physical;By artificial physical interactive relation pel by artificial physical pel chain It picks up and, show the input/output data of artificial physical class on artificial physical interactive relation pel, and describe the stream of data To input/output object, transmission data and condition can be configured by double-clicking artificial physical interactive relation pel, to constitute Dynamic interaction logic between artificial physical realizes Mapping implementation of the real-world object in analogue system.
Analogue system assembling layer model generally constructs process as shown in figure 4, realizing the model construction of complication system, supports logical Cross the scheduling relational graph constructed between the artificial physical pel and artificial physical interactive relation pel that the analogue system includes Indicate the corresponding processing logic of the event.
(3) hierarchical Simulation Engineering manager is constructed
Hierarchical Simulation Engineering manager is constructed, supports the newly-built and import operation to Solid simulation model, it is automatic to traverse Solid simulation model resource folder, while supporting that mouse selection is executed to each layer resource file of Solid simulation model grasps with dragging Make.Include Simulation Model title in hierarchical Simulation Engineering manager, construct the graphic primitive resource list of analogue system, emulates Physical model title describes the graphic primitive resource list of artificial physical, as shown in Figure 5.Simulation Engineering management is being clicked using mouse When device resource, corresponding pel can be highlighted in Simulation Model or Solid simulation model.
(2) state space analysis module is constructed
(1) state space generation layer is constructed
State space generation layer is mainly made of status data display module, status data document storing module two parts, Support the set for generating with saving analogue system whole possible state.
Status data display sub-module carries out record to the state space of analogue system and artificial physical and shows.State Space can regard one as using state variable as the space of reference axis, therefore a certain state of system can indicate in space thus One vector.Specifically, each analogue system state includes the data mode in all data pels contained by system.Number According in flow model because data in data pel may more than one, and the function pel for meeting shooting condition may not Only one, then linear function excitation may generate a variety of new data modes, system from a kind of state evolution at it is a variety of can The state of energy, as shown in Figure 6.State space is mainly used for the entire state of record cast operation, provides for subsequent analysis improvement Basis, it may also be used for the accuracy for verifying model judges whether there is deadlock and invalid function pel.
The system state space of generation, i.e., be saved in text document by status data document storing submodule.In function After pel is finished, various output datas will be saved in status data display sub-module as a result, and calling connects Mouth can read data from status data display sub-module, and be layered and be stored in each text document, be convenient for off-line analysis.
(2) state space analysis layer is constructed
State space analysis layer is complication system mathematics library and a kind of analysis system state change that analysis system provides Change process approach, which provides model interface, can be called by application program, carries out figure to the state space of system Change analysis.State space analysis is the state conversion for calculating all reachable states and limited system first, then further according to being (utilization rate of function pel, data pel are numerous for system analysis personnel demand analysis status data overall variation trend and relevant parameter Busy and idle probability) change procedure.
Assuming that the datagram metaset of building data flow model is s1,s2,...,sx, x is data pel sum, function pel Integrate as h1,h2,...,hy, y is function pel sum.Data pel sr(r=1,2 ..., x) transmits pel by input/output The function pel h of linkw(1≤w≤y) is known.According to the distribution situation of resource in model data pel and function pel Triggering rule, generates state space R (m0), and institute stateful is denoted as m0,m1,...,mq-1, q is state sum, i.e. q=herein |R(m0) |, function pel corresponding between each state is denoted as k1,k2,...,kq-1(kjIt may be deposited in (j=1 ..., q-1) In same functions pel), the corresponding probability that triggers is denoted as c1,c2,...,cq-1, corresponding elapsed time is denoted as t1,t2,..., tq-1
1, the utilization rate of function pel
Operation data flow model generates state space, and the sum of all triggered times of certain function pel are the function pel Utilization rate.The height of the utilization rate of function pel shows in Solid simulation model to be exactly to find out longer link of taking time, It is the vital task being affected to system working efficiency, analyzes and improve convenient for system developer.Each letter of graphic software platform When the utilization rate of number pel, abscissa shows each function pel title, and ordinate shows the function pel utilization rate being calculated Value.Function pel hiUtilization rate P (hi) calculate are as follows:
The function pel h it can be seen from above-mentioned formulaiUtilization rate be exactly to select and hiPhase between identical each state Corresponding function pel kj, and triggered probability and be added with time consuming product value.
2, the busy and idle probability of data pel
Operation data flow model generates state space, certain data pel busy rate is to have data flowing in the data pel The probability crossed.The height of the busy rate of data pel shows to be exactly to find out to influence the main of system performance in Solid simulation model Factor.Each data pel of graphic software platform is busy/idle probability when, abscissa show each data pel title, and ordinate is shown Show busy/idle probability value of the data pel being calculated, then B (sr) that indicate is data pel srIn have data flow Probability are as follows:
R=1,2 ..., x;J=1 ..., q-1
Wherein with data pel srThe function pel h of linkwIt is known and may not be unique.
The data pel s it can be seen from above-mentioned formularBusy rate B (sr) it is exactly srThe middle state that data flowing occurs accounts for Institute is stateful (in addition to reset condition m0) ratio.Obviously, the probability of data pel free time is 1-B (sr)。
Complication system mathematics library and analysis system based on state space may be implemented by above-mentioned implementation steps.
Above in conjunction with attached drawing, an exemplary description of the invention, it is clear that realization of the invention is not by aforesaid way Limitation, as long as use the inventive concept and technical scheme of the present invention carry out various improvement, or it is not improved will be of the invention Conception and technical scheme directly apply to other occasions, be within the scope of the invention.

Claims (4)

1. a kind of complication system mathematics library and analysis system based on state space, including analogue system set up module and shape State space analysis module, it is characterised in that: the analogue system sets up module, for supporting the mathematics library of analogue system to open Hair, including artificial physical describing layer, analogue system assembled layers and Simulation Engineering manager;
The artificial physical describing layer, including data flow model composition pel area and the graphical editing area of data flow model two Point, artificial physical is graphically described using data flow model, supports the load to data flow model composition pel, and to data Flow model forms the configuration of interactive relation between pel;
The analogue system assembled layers, including artificial physical pel area, artificial physical interactive relation pel area, artificial physical figure Shapeization assembles area's three parts, and Simulation Application system is constructed by way of Patterned assembly Solid simulation model;
The Simulation Engineering manager, to all kinds of Solid simulation models for constructing analogue system and to structure by the way of hierarchical All kinds of pels for building Solid simulation model are managed;
The state space analysis module, the status data for generating analogue system each stage form state space to support The behavior of complication system is analyzed, including state space generation layer and state space analysis layer;
The state space generation layer, including status data display sub-module and status data save two parts of submodule, shape State data display sub-module realizes the display to the state space data of analogue system, is the behavioural analysis and improvement of complication system Basis is provided;Status data saves submodule, and the state space data that analogue system generates are saved in text document, are convenient for Off-line analysis is carried out to Simulation result data;
The state space analysis layer provides a kind of method for analyzing analogue system state change, to the state space of system into The graphical analysis of row, and provide model interface output state data and called by other application program.
2. complication system mathematics library and analysis system based on state space as described in claim 1, which is characterized in that Data flow model composition pel area lists the pel that building data flow model needs to use, including starts pel, data Pel, function pel, transmission pel, end diagram element;The graphical editing area of data flow model is for graphically describing emulation Data flow model composition pel is dragged to data flow model by way of mouse drag by the concrete function of entity, modeling personnel Graphical editing area, and transmission figure element data storing map member and function pel is used to indicate the flow direction of data, double-click number The related data of data flow model can be configured according to flow model composition pel pop-up dialog box, double-click the pop-up of function pel Dialog box can be defined the state transition function of data flow model, and double-click data pel pops up dialog box can be to data The original state of flow model is configured.
3. complication system mathematics library and analysis system based on state space as described in claim 1, which is characterized in that Artificial physical pel area provides the Solid simulation model pel for Patterned assembly analogue system, each emulation is real Body Model pel corresponds to a Solid simulation model;The artificial physical interactive relation pel area lists connection artificial physical mould Type pel needs the pel used, including announces and order line pel and message transmission line pel;The artificial physical figure Change assembling area to support that the physical model pel in artificial physical pel area is loaded into Patterned assembly area in a manner of mouse drag, And support that artificial physical pel, which is connected the dynamic interaction between composition Solid simulation model, using interactive relation pel patrols Volume, the interaction data between Solid simulation model can be matched by double-clicking artificial physical interactive relation pel pop-up dialog box It sets.
4. complication system mathematics library and analysis system based on state space as described in claim 1, which is characterized in that The method of the analysis analogue system state change includes the following steps: to calculate all reachable states and limited system first State conversion, then further according to the utilization of systems analyst's demand analysis status data overall variation trend and function pel The change procedure of the busy and idle probability of rate, data pel, the utilization rate of function pel is for analyzing in Solid simulation model It takes time longer link, the busy and idle probability of data pel, which is used to analyze, influences system performance in Solid simulation model Principal element.
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